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Finding the Fourth Proportional to 1,752.57, 2,626.83 and 1,365.39

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Solution

The fourth proportional to 1,752.57, 2,626.83 and 1,365.39 is: 2,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.57 : 2,626.83 = 1,365.39 : x
  2. Step 2: Convert to fraction form
    1,752.57/2,626.83 = 1,365.39/x
  3. Step 3: Cross multiply
    1,752.57x = 2,626.83 × 1,365.39
  4. Step 4: Simplify right side
    1,752.57x = 3,586,647.41
  5. Step 5: Solve for x
    x = 3,586,647.41/1,752.57
  6. Step 6: Final answer
    x = 2,046.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.